graph transformation; neighbourhood of a vertex; distance between vertices; connectivity of a graph
The paper describes the properties of two transformations of graphs. One of them was introduced by F. Gliviak for the sake of study of metric properties of graphs, the other is related to it.
 F. Gliviak: Two classes of graphs related to extremal eccentricities
. Math. Bohem. 122 (1997), 231-241. MR 1600875
| Zbl 0898.05021